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Finding the Fourth Proportional to 300,774.72, 415,069.21 and 164,807.56

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Solution

The fourth proportional to 300,774.72, 415,069.21 and 164,807.56 is: 227,434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,774.72 : 415,069.21 = 164,807.56 : x
  2. Step 2: Convert to fraction form
    300,774.72/415,069.21 = 164,807.56/x
  3. Step 3: Cross multiply
    300,774.72x = 415,069.21 × 164,807.56
  4. Step 4: Simplify right side
    300,774.72x = 68,406,544,456.07
  5. Step 5: Solve for x
    x = 68,406,544,456.07/300,774.72
  6. Step 6: Final answer
    x = 227,434.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.